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Finding the Fourth Proportional to 17,901.16, 26,824.14 and 9,582.28

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Solution

The fourth proportional to 17,901.16, 26,824.14 and 9,582.28 is: 14,358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901.16 : 26,824.14 = 9,582.28 : x
  2. Step 2: Convert to fraction form
    17,901.16/26,824.14 = 9,582.28/x
  3. Step 3: Cross multiply
    17,901.16x = 26,824.14 × 9,582.28
  4. Step 4: Simplify right side
    17,901.16x = 257,036,420.24
  5. Step 5: Solve for x
    x = 257,036,420.24/17,901.16
  6. Step 6: Final answer
    x = 14,358.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.